i) a) $\frac{1}{4}$ 的 $\frac{1}{4}$ b) $\frac{1}{4}$ 的 $\frac{3}{5}$ c) $\frac{1}{4}$ 的 $\frac{4}{3}$ ii) a) $\frac{1}{7}$ 的 $\frac{2}{9}$ b) $\frac{1}{7}$ 的 $\frac{6}{5}$ c) $\frac{1}{7}$ 的 $\frac{3}{10}$
i)
a) $\frac{1}{4}$ 的 $\frac{1}{4}$
= $\frac{1}{4} \times \frac{1}{4}$
= $\frac{1}{8}$
=$\frac{1}{4}$ 的 $\frac{1}{4}$
= $\frac{1}{8}$
b) $\frac{1}{4}$ 的 $\frac{3}{5}$
= $\frac{1}{4} \times \frac{3}{5}$
= $\frac{1 \times 3}{4 \times 5}$
=$\frac{3}{20}$
=$\frac{1}{4}$ 的 $\frac{3}{5}$
= $\frac{3}{20}$
c) $\frac{1}{4}$ 的 $\frac{4}{3}$
= $\frac{1}{4} \times \frac{4}{3}$
= $\frac{1 \times 4}{4 \times 3}$
= $\frac{1}{3}$
=$\frac{1}{4}$ 的 $\frac{4}{3}$
= $\frac{1}{3}$
ii) a) $\frac{1}{7}$ 的 $\frac{2}{9}$
=$\frac{1}{7} \times \frac{2}{9}$
= $\frac{1 \times 2}{7 \times 9}$
= $\frac{2}{63}$
= $\frac{1}{7}$ 的 $\frac{2}{9}$
=$\frac{2}{63}$
b) $\frac{1}{7}$ 的 $\frac{6}{5}$
= $\frac{1}{7} \times \frac{6}{5}$
= $\frac{1 \times 6}{7 \times 5}$
= $\frac{6}{35}$
c) $\frac{1}{7}$ 的 $\frac{3}{10}$
=$\frac{1}{7} \times \frac{3}{10}$
= $\frac{1 \times 3}{7 \times 10}$
= $\frac{3}{70}$
= $\frac{1}{7}$ 的 $\frac{3}{10}$
= $\frac{3}{70}$
相关文章 求:(i) $\frac{1}{4}$ 的 (a) $\frac{1}{4}$ (b) $\frac{3}{5}$ (c) $\frac{4}{3}$ (ii) $\frac{1}{7}$ 的 (a) $\frac{2}{9}$ (b) $\frac{6}{5}$ (c) $\frac{3}{10}$
解:(a) \( \frac{2}{3}+\frac{1}{7} \)(b) \( \frac{3}{10}+\frac{7}{15} \)(c) \( \frac{4}{9}+\frac{2}{7} \)(d) \( \frac{5}{7}+\frac{1}{3} \)(e) \( \frac{2}{5}+\frac{1}{6} \)(f) \( \frac{4}{5}+\frac{2}{3} \)(g) \( \frac{3}{4}-\frac{1}{3} \)(h) \( \frac{5}{6}-\frac{1}{3} \)(i) \( \frac{2}{3}+\frac{3}{4}+\frac{1}{2} \)(j) \( \frac{1}{2}+\frac{1}{3}+\frac{1}{6} \)(k) \( 1 \frac{1}{3}+3 \frac{2}{3} \)(l) \( 4 \frac{2}{3}+3 \frac{1}{4} \)(m) \( \frac{16}{5}-\frac{7}{5} \)(n) \( \frac{4}{3}-\frac{1}{2} \)
证明:\( \frac{2^{\frac{1}{2}} \times 3^{\frac{1}{3}} \times 4^{\frac{1}{4}}}{10^{\frac{-1}{5}} \times 5^{\frac{3}{5}}} \p \frac{3^{\frac{4}{3}} \times 5^{\frac{-7}{5}}}{4^{\frac{-3}{5}} \times 6}=10 \)
解 $7\frac{1}{3}\div \frac{2}{3}$ 的 $2\frac{1}{5}+1\frac{3}{8}\div 2\frac{3}{4}-1 \frac{1}{2}$。
在以下每个问题中,哪个数更大:(i) $\frac{2}{3},\ \frac{5}{2}$(ii) $-\frac{5}{6},\ -\frac{4}{3}$(iii) $-\frac{3}{4},\ \frac{2}{-3}$(iv) $-\frac{1}{4},\ \frac{1}{4}$(v) $-3\frac{2}{7\ },\ -3\frac{4}{5}$
解:(a) \( \frac{1}{18}+\frac{1}{18} \)(b) \( \frac{8}{15}+\frac{3}{15} \)(c) \( \frac{7}{7}-\frac{5}{7} \)(d) \( \frac{1}{22}+\frac{21}{22} \)(e) \( \frac{12}{15}-\frac{7}{15} \)(f) \( \frac{5}{8}+\frac{3}{8} \)(g) \( 1-\frac{2}{3}\left(1=\frac{3}{3}\right) \)(h) \( \frac{1}{4}+\frac{0}{4} \)(i) \( 3-\frac{12}{5} \)
化简以下式子:$(\frac{16}{17} 的 6 \frac{4}{5}) -4 \frac{1}{5}-[1 \frac{1}{14} \div(\frac{1}{2}+\frac{1}{7})] $
画数轴并在数轴上标出点:(a) \( \frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{4}{4} \)(b) \( \frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \frac{7}{8} \)(c) \( \frac{2}{5}, \frac{3}{5}, \frac{8}{5}, \frac{4}{5} \)
从以下式子中减去:(i) \( \frac{6}{5} x^{2}-\frac{4}{5} x^{3}+\frac{5}{6}+\frac{3}{2} x \) 从 \( \frac{x^{3}}{3}-\frac{5}{2} x^{2}+ \) \( \frac{3}{5} x+\frac{1}{4} \)(ii) \( \frac{5 a^{2}}{2}+\frac{3 a^{3}}{2}+\frac{a}{3}-\frac{6}{5} \) 从 \( \frac{1}{3} a^{3}-\frac{3}{4} a^{2}- \) \( \frac{5}{2} \)(iii) \( \frac{7}{4} x^{3}+\frac{3}{5} x^{2}+\frac{1}{2} x+\frac{9}{2} \) 从 \( \frac{7}{2}-\frac{x}{3}- \) \( \frac{x^{2}}{5} \)(iv) \( \frac{y^{3}}{3}+\frac{7}{3} y^{2}+\frac{1}{2} y+\frac{1}{2} \) 从 \( \frac{1}{3}-\frac{5}{3} y^{2} \)(v) \( \frac{2}{3} a c-\frac{5}{7} a b+\frac{2}{3} b c \) 从 \( \frac{3}{2} a b-\frac{7}{4} a c- \) \( \frac{5}{6} b c \)
化简:\( 7 \frac{1}{2}+3 \frac{1}{4}= \)
化简:\( 5 \frac{1}{4} \p 2 \frac{1}{3}-4 \frac{2}{3} \p 5 \frac{1}{3} \times 3 \frac{1}{2} \)
$ 4 \frac{4}{5}+\left\{2 \frac{1}{5}-\frac{1}{2}\left(1 \frac{1}{4}-\frac{1}{4}-\frac{1}{5}\right)\right\} $
求:(a) $\frac{1}{2}$ 的 (i) $2\frac{3}{4}$ (ii) $4\frac{2}{9}$(b) $\frac{5}{8}$ 的 (i) $3\frac{5}{6}$ (ii) $9\frac{2}{3}$
将以下每个表达式表示为 $\frac{p}{q}$ 形式的有理数(i) \( -\frac{8}{3}+\frac{-1}{4}+\frac{-11}{6}+\frac{3}{8}-3 \)(ii) \( \frac{6}{7}+1+\frac{-7}{9}+\frac{19}{21}+\frac{-12}{7} \)(iii) \( \frac{15}{2}+\frac{9}{8}+\frac{-11}{3}+6+\frac{-7}{6} \)(iv) \( \frac{-7}{4}+0+\frac{-9}{5}+\frac{19}{10}+\frac{11}{14} \)(v) \( \frac{-7}{4}+\frac{5}{3}+\frac{-1}{2}+\frac{-5}{6}+2 \)
解:$3\frac{2}{7} \ \div \ 4\frac{3}{5} \ \times \ 1\frac{1}{2}$